Question

From the diagram below, if the measure of < C = 30 °, and side AB = 13, then side AC = _____.

Answer 1

b. 26

Explanation:

We can determine the AC value, by means of the sine trigonometric function, which relates the opposite side to the angle and the hypotenuse, like this:

`\begin{gathered} \sin\theta=\frac{\text{ opposite}}{\text{ hypotenuse}} \\ \\ \theta=\angle C=30\degree \\ \\ \text{ opposite = AB =13} \\ \\ \text{ hypotenuse = AC} \\ \\ \text{ We replacing:} \\ \\ \sin30\degree=(13)/(AC) \\ \\ AC=(13)/(\sin30\degree) \\ \\ AC=26 \end{gathered}`

So the correct answer is b. 26